Question

construct an angle 75 degree and the bisector of 75 degree​

Answer 1

Answer:

Construction of 75° angle:

Step 1: Draw a line AB and mark a point O on it.

Step 2: Draw a ray OP such that ∠AOP = 90°

Step 3: Now draw another ray OQ such that ∠AOQ = 60°

Step 4: Draw the bisector of ∠POQ = 30°. Mark the bisector as OR.

Step 5: Hence ∠AOR =75°

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Answer 2

Construction of 75° angle:

 

 

Step 1: Draw a line AB and mark a point O on it.

Step 2: Draw a ray OP such that  ∠AOP = 90°

Step 3: Now draw another ray OQ such that ∠AOQ = 60°

Step 4: Draw the bisector of ∠POQ = 30°. Mark the bisector as OR.

Step 5: Hence ∠AOR =75°

or

To construct 75 degree angle follow these steps:

Draw a ray OA.

Taking the O as center draw an arc of any radius on the line OA.  label the intersecting point as B.

Taking B as a centre with the same radius draw an arc to intersect the previous arc at C

Taking C as a centre with the same radius draw an arc to intersect the previous arc at D

Join OC and OD such that 

Draw an angle bisector OE such that 

Draw an angle bisector OF such that 

      Now  is our required angle.